New Trends in Intuitive Geometry

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Ambrus, Gergely (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Bárány, Imre (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Böröczky, Károly J. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Fejes Tóth, Gábor (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt), Pach, János (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Σειρά: Bolyai Society Mathematical Studies, 27
• Θέματα: Convex geometry .; Discrete geometry.; Combinatorics.; Polytopes.; Topology.; Convex and Discrete Geometry.

This volume contains 17 surveys that cover many recent developments in Discrete Geometry and related fields. Besides presenting the state-of-the-art of classical research subjects like packing and covering, it also offers an introduction to new topological, algebraic and computational methods in thi...

Πίνακας περιεχομένων:

• Introduction
• A. Barvinok: The tensorization trick in geometry
• K. Bezdek and M. A. Khan: Contact numbers for sphere packings
• P. M. Blagojević, A. S. D. Blagojević, and G. M. Ziegler: The topological Tverberg theorem plus constraints
• B. Csikós: On the volume of Boolean expressions of balls - A review of the Kneser-Poulsen conjecture
• F. de Zeeuw: A survey of Elekes-Rónyai-type problems
• G. Domokos and G. W. Gibbons: The geometry of abrasion
• F. M. de Oliveira Filho and F. Vallentin: Computing upper bounds for the packing density of congruent copies of a convex body
• P. Hajnal and E. Szemerédi: Two geometrical applications of the semi-random method
• A. F. Holmsen: Erdős-Szekeres theorems for families of convex sets
• R. Kusner, W. Kusner, J. C. Lagarias, and S. Shlosman: Configuration spaces of equal spheres touching a given sphere: the twelve spheres problem
• E. León and G. M. Ziegler: Spaces of convex n-partitions
• P. McMullen: New regular compounds of 4-polytopes
• O. R. Musin, Five Essays on the Geometry of László Fejes Tóth
• M. Naszódi: Flavors of translative coverings
• M. Sharir and Noam Solomon: Incidences between points and lines in three dimensions
• J. Solymosi and F. de Zeeuw: Incidence bounds for complex algebraic curves on Cartesian products
• K. J. Swanepoel: Combinatorial distance geometry in normed spaces. .